Abstract
We investigate an application of the method of fundamental solutions (MFS) to heat conduction in two-dimensional bodies, where the thermal diffusivity is piecewise constant. We extend the MFS proposed in Johansson and Lesnic [A method of fundamental solutions for transient heat conduction, Eng. Anal. Bound. Elem. 32 (2008), pp. 697–703] for one-dimensional heat conduction with the sources placed outside the space domain of interest, to the two-dimensional setting. Theoretical properties of the method, as well as numerical investigations, are included, showing that accurate results can be obtained efficiently with small computational cost.
Original language | English |
---|---|
Pages (from-to) | 1697-1713 |
Number of pages | 17 |
Journal | International Journal of Computer Mathematics |
Volume | 88 |
Issue number | 8 |
DOIs | |
Publication status | Published - May 2011 |
Keywords
- method of fundamental solutions
- heat conduction